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Finding the Fourth Proportional to 1,197.75, 1,796.63 and 376.09

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Solution

The fourth proportional to 1,197.75, 1,796.63 and 376.09 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.75 : 1,796.63 = 376.09 : x
  2. Step 2: Convert to fraction form
    1,197.75/1,796.63 = 376.09/x
  3. Step 3: Cross multiply
    1,197.75x = 1,796.63 × 376.09
  4. Step 4: Simplify right side
    1,197.75x = 675,694.58
  5. Step 5: Solve for x
    x = 675,694.58/1,197.75
  6. Step 6: Final answer
    x = 564.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.